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Finding the Third Proportional to 148,876.13 and 324,520.50

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Solution

The third proportional to 148,876.13 and 324,520.50 is: 707,390.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,876.13 : 324,520.50 = 324,520.50 : x
  2. Step 2: Convert to fraction form
    148,876.13/324,520.50 = 324,520.50/x
  3. Step 3: Cross multiply
    148,876.13x = 324,520.50 × 324,520.50
  4. Step 4: Simplify right side
    148,876.13x = 105,313,554,920.25
  5. Step 5: Solve for x
    x = 105,313,554,920.25/148,876.13
  6. Step 6: Final answer
    x = 707,390.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.